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Differential Equations

, Volume 54, Issue 9, pp 1202–1214 | Cite as

Explicit Solutions of Integral Equations and Relations for Potentials

  • P. A. Krutitskii
  • V. V. Kolybasova
Integral Equations
  • 6 Downloads

Abstract

Explicit solutions are obtained for integral equations to which the skew derivative problem for the Laplace equation outside open curves on the plane is reduced. Moreover, explicit relations are obtained for harmonic potentials whose density is prescribed on open curves on the plane. The results can be used to test numerical algorithms in boundary value problems outside open curves on the plane.

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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Keldysh Institute of Applied Mathematics of the Russian Academy of SciencesMoscowRussia
  2. 2.Lomonosov Moscow State UniversityMoscowRussia

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